Conrad KuckIntuitionistic Set Theory

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Hilbert‘s Program is completed by a finite method, which constructs propositions. The constructed propositions can make assertions about infinitive sets. Intuitionistic Set Theory generalizes the construction of an algebraic-real number u.u is a complex number, which satisfies a polynomial equation with rational coefficients not all zero:

a₀ + a₁u + a₂u² + ... - a_n-1u^n-1 + a_nuⁿ = 0 (a_i in Q, not all a_i=0).

A proof is an eigenvector in a Banach-semi-space, which satisfies is characteristic polynominal

(λ₁-λ) (λ₂-λ) ... (λ_n-1-λ) (λ_n-λ) = 0.

The eigenvalues λ_i are constructed by a proof.

A proof is a regular endomorphism. Intuitionistic Set Theory uses for the calculation of a semi-ring known propositions (operators).

This Part III generalizes Group-Theory.

• Intuitionistic Set Theory, Part I:ISBN 3-86064-616-8
• Intuitionistic Set Theory, Part II:ISBN 3-86064-617-6
• Intuitionistic Set Theory, Part IV:ISBN 3-8300-0691-8

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